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Finding the Fourth Proportional to 1,435.33, 1,980.43 and 904.36

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Solution

The fourth proportional to 1,435.33, 1,980.43 and 904.36 is: 1,247.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.33 : 1,980.43 = 904.36 : x
  2. Step 2: Convert to fraction form
    1,435.33/1,980.43 = 904.36/x
  3. Step 3: Cross multiply
    1,435.33x = 1,980.43 × 904.36
  4. Step 4: Simplify right side
    1,435.33x = 1,791,019.96
  5. Step 5: Solve for x
    x = 1,791,019.96/1,435.33
  6. Step 6: Final answer
    x = 1,247.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.